We don't need to speculate on this. It sounds like he did actually fire engineers over his tweets getting less engagement than he wanted.
https://www.platformer.news/p/elon-musk-fires-a-top-twitter-...
https://www.platformer.news/p/elon-musk-fires-a-top-twitter-...
But, we do have a bit of code that measures metrics on his account, so can we find the bit of code that increases the engagement on his account?
There doesn't need to be. When they run AB tests, it's possible that they'd pick the winning cell if it makes the Elon metrics look better.
Even if the algorithm doesn't do anything explicit about boosting him, it can be tweaked through AB testing to favor him.
Maybe after every update to the model, they check these stats to ensure that they haven't biased towards Elon Musk, and if so roll the change back.
Reading between the lines, Musk sounds like a giant baby.